GCD of 690, 165, 13, 856 Calculator

Given Input numbers are 690, 165, 13, 856

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 690, 165, 13, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 165, 13, 856 is 1.

Therefore, GCD of numbers 690, 165, 13, 856 is 1

Given Input Data is 690, 165, 13, 856

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 13 is 13

Prime Factorization of 856 is 2 x 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(690, 165) = 7590

GCD(690, 165) = ( 690 x 165 ) / 7590

GCD(690, 165) = 113850 / 7590

GCD(690, 165) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 13

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(15, 13) = 195

GCD(15, 13) = ( 15 x 13 ) / 195

GCD(15, 13) = 195 / 195

GCD(15, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 690, 165, 13, 856 is 1

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• GCD of 126, 851, 89, 857
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1. What is the GCD of 690, 165, 13, 856?

GCD of 690, 165, 13, 856 is 1

2. Where do I get the detailed procedure to find GCD of 690, 165, 13, 856?

You can find a detailed procedure to find GCD of 690, 165, 13, 856 on our page.

3. How to find GCD of 690, 165, 13, 856 on a calculator?

You can find the GCD of 690, 165, 13, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.